/*
 * Copyright (c) 2022 Huawei Device Co., Ltd.
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *     http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
export function nearlyEqual(x, y, epsilon) {
  // if epsilon is null or undefined, test whether x and y are exactly equal
  if (epsilon === null || epsilon === undefined) {
    return x.eq(y);
  } // use "==" operator, handles infinities


  if (x.eq(y)) {
    return true;
  } // NaN


  if (x.isNaN() || y.isNaN()) {
    return false;
  } // at this point x and y should be finite


  if (x.isFinite() && y.isFinite()) {
    // check numbers are very close, needed when comparing numbers near zero
    var diff = x.minus(y).abs();

    if (diff.isZero()) {
      return true;
    } else {
      // use relative error
      var max = x.constructor.max(x.abs(), y.abs());
      return diff.lte(max.times(epsilon));
    }
  } // Infinite and Number or negative Infinite and positive Infinite cases


  return false;
}